Build a question paper in 60 seconds.

1. A
   $0$
2. B
   $1$
3. C
   $-1$
4. D
   $\frac{1}{2}$

Tap an option to check your answer.

1. A
   $\frac{244}{3}$
2. B
   $\frac{316}{3}$
3. C
   $\frac{200}{3}$
4. D
   $\frac{400}{3}$

Tap an option to check your answer.

1. A
   $\frac{1}{2}$
2. B
   $2$
3. C
   $1$
4. D
   $\frac{1}{\sqrt{2}}$

Tap an option to check your answer.

1. A
   $-\frac{4}{7}\tan^{-4/7}x + c$
2. B
   $\frac{4}{7}\tan^{4/7}x + c$
3. C
   $-\frac{7}{4}\tan^{-4/7}x + c$
4. D
   $\frac{7}{4}\tan^{4/7}x + c$

Tap an option to check your answer.

1. A
   $27$
2. B
   $28$
3. C
   $4$
4. D
   $3$

Tap an option to check your answer.

1. A
   $(2,3)$
2. B
   $[2,3)$
3. C
   $[2,3]$
4. D
   $(2,3]$

Tap an option to check your answer.

1. A
   $6$
2. B
   $-6$
3. C
   $8$
4. D
   $-8$

Tap an option to check your answer.

1. A
   $\cos^{-1}\sqrt{\frac{2}{3}}$
2. B
   $\cos^{-1}\sqrt{\frac{1}{3}}$
3. C
   $\sin^{-1}\sqrt{\frac{1}{3}}$
4. D
   $\sin^{-1}\sqrt{\frac{2}{3}}$

Tap an option to check your answer.

1. A
   $16$
2. B
   $8$
3. C
   $2$
4. D
   $4$

Tap an option to check your answer.

1. A
   $8x+y-58=0$
2. B
   $8x-2y-52=0$
3. C
   $8x-y-54=0$
4. D
   $8x+2y-60=0$

Tap an option to check your answer.

1. A
   $-1$
2. B
   $1$
3. C
   $2$
4. D
   $4$

Tap an option to check your answer.

1. A
   $x+y = 3e^{-2}$
2. B
   $x-y = 3e^{-2}$
3. C
   $x-y = 3e^2$
4. D
   $x+y = 3e^2$

Tap an option to check your answer.

1. A
   $\tan^{-1}x \cdot e^{\tan^{-1}x} + c$
2. B
   $\left(\tan^{-1}x\right)^2 e^{\tan^{-1}x} + c$
3. C
   $2\tan^{-1}x \cdot e^{\tan^{-1}x} + c$
4. D
   $2(\tan^{-1}x)^2 e^{\tan^{-1}x} + c$

Tap an option to check your answer.

1. A
   $8x+14y+13z-37=0$
2. B
   $8x-14y-13z-34=0$
3. C
   $8x-14y-13z+37=0$
4. D
   $8x+14y+13z+37=0$

Tap an option to check your answer.

1. A
   $(-1,2)$
2. B
   $(1,-2)$
3. C
   $(-1,-2)$
4. D
   $(1,2)$

Tap an option to check your answer.

1. A
   $\tan x = (c + \sec x)y$, where $c$ is constant of integration.
2. B
   $\sec y = (c + \tan y)x$, where $c$ is constant of integration.
3. C
   $\sec x = (c + \tan x)y$, where $c$ is constant of integration.
4. D
   $\cos y = (c + \tan y)$, where $c$ is constant of integration.

Tap an option to check your answer.

1. A
   $1$
2. B
   $-4$
3. C
   $3$
4. D
   $-2$

Tap an option to check your answer.

1. A
   $\frac{8}{35}$
2. B
   $\frac{18}{35}$
3. C
   $\frac{26}{35}$
4. D
   $\frac{34}{35}$

Tap an option to check your answer.

1. A
   $2$
2. B
   $5$
3. C
   $10$
4. D
   $4$

Tap an option to check your answer.

1. A
   $\frac{x^2}{2}+3x-\log|x|+c$
2. B
   $\frac{x^2}{2}+3x+2\log|x|+c$
3. C
   $\frac{x^2}{2}-3x+2\log|x|+c$
4. D
   $\frac{x^2}{2}-3x-\log|x|+c$

Tap an option to check your answer.

1. A
   $0.2$
2. B
   $1.2$
3. C
   $0.8$
4. D
   $2.5$

Tap an option to check your answer.

1. A
   $216$
2. B
   $240$
3. C
   $96$
4. D
   $120$

Tap an option to check your answer.

1. A
   $\alpha = -6, \beta = \frac{1}{2}$
2. B
   $\alpha = -6, \beta = -\frac{1}{2}$
3. C
   $\alpha = 2, \beta = -\frac{1}{2}$
4. D
   $\alpha = 2, \beta = \frac{1}{2}$

Tap an option to check your answer.

1. A
   both paramagnetic and ferromagnetic
2. B
   paramagnetic
3. C
   diamagnetic
4. D
   ferromagnetic

Tap an option to check your answer.

1. A
   first decreases and then increases
2. B
   increases
3. C
   decreases
4. D
   remains unchanged

Tap an option to check your answer.